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PENERAPAN METODE SPEKTRAL DENGAN TRANSFORM FOURIER PADA PERSAMAAN NAVIER STOKES VORTICITY STREAMFUNCTION Farida Nurmala Sihotang; Rohman Agus Jatnika
Naratif (Jurnal Nasional Riset, Aplikasi Dan Teknik Informatika) Vol 1 No 2 (2019): NARATIF (Jurnal Ilmiah Nasional Riset Aplikasi Dan Teknik Informatika)
Publisher : Sekolah Tinggi Teknologi Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (402.957 KB) | DOI: 10.53580/naratif.v1i2.69

Abstract

AbstrakPersamaan Navier Stokes merupakan persamaan diferensial parsial yang sering digunakan pada aliran fluida. Solusi persamaan ini dapat diselesaikan dengan metode numerik. Batasan jurnal ini meliputi asumsi jenis fluida incompressible, parameter aliran fluida bergantung pada arah x dan y, serta menggunakan fungsi yang periodik. Karena asumsi menggunakan fungsi periodik, maka persamaan Navier Stokes akan diselesaikan dengan metode spectral yang memanfaatkan transform fourier. Pada jurnal ini perhitungan numerik memanfaatkan metode Cranck-Nicolson. Hasil perhitungan numerik dilakukan dengan menggunakan bantuan Matlab. Dari hasil perhitungan menunjukkan bahwa turbulensi pada fluida dipengaruhi oleh bilangan Reynolds dan variable beta.Kata kunci :Vorticity, metode spectral, bilangan ReynoldsAbstractThe Navier Stokes equation is a aprtial differential equation that often used in fluid flow. The solution of this equation can be solved by numerical methods. The assumption of this journal is incompressible fluids, the parameters of fluid flow depend on x and y direction, and we use periodic funtions. Because of assumption use periodic function, the Navier Stokes equation will be solved by a spectral methods that utilized fourier transform. In this journal numerical calculation utilizes Cranck-Nicolson method. The results of numerical calculation is done by using Matlab. The result show that turbulence in the fluid is influenced by Reynolds number and beta variable.Keywords :Vorticity, spectral method, Reynolds number.
Delivery service order policy with the sharing economy concept using a discrete event simulation system Farida Nurmala Sihotang
International Journal of Industrial Optimization Vol. 4 No. 2 (2023)
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/ijio.v4i2.7483

Abstract

People's lifestyle, especially in shopping, has shifted from offline shopping, such as in supermarkets, traditional markets, stalls, and so on, to online shopping. Therefore, online business (e-commerce) has increased, resulting in a surge in the business potential of freight forwarder companies. When there is an increase in demand for the delivery of goods by sellers to consumers, companies need to make adjustments to improve their performance. This paper proposed the sequence of goods delivery services for XYZ companies by considering dynamic requests and conditions that vary discretely over time. This paper is based on a case company in Bandung, Indonesia. The method employed queuing models and discrete event simulations using hypothetical data with performance criteria to minimize the total cost of shipping goods. Simulations are carried out using one courier and one zone to compare customer service determination algorithms, namely first-come, first-served, proximity, and predictive control models. The simulation results show that the proximity algorithm produces a minimum total cost of Rp 1,785,749, the smallest cost compared to using first-come, first-served and predictive control models, respectively IDR  2,782,389, and IDR  2,639,291. Then, the Annova test was conducted, which provided information that one policy differed significantly from another, and a Turkey test was carried out, showing that the proximity algorithm produces better performance than other algorithms. The contribution of this paper is to present that the delivery service employed by the company provided a minimum total cost.